Science from Fisher information

A unification

B. Roy Frieden

490 pages, parution le 15/06/2004

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Résumé

This book develops and applies an analytical approach to deriving the probability laws of science in general. It is called 'extreme physical information' or EPI. EPI is an expression of the imperfection of observation: Owing to random interaction of a subject with its observer and other possible disturbances, its measurement contains less Fisher information than does the subject per se. Moreover, the information loss is an extreme value. An EPI output may alternatively be viewed as the payoff of a zero-sum game of information acquisition between the observer and a 'demon' in subject space. EPI derives, Escher-like, the very probability law that gave rise to the measurement. In applications, EPI is used to derive both existing and new analytical relations governing probability laws of physics, genetics, cancer growth, ecology and economics. This unified approach will be fascinating to students and those who seek a new mathematical tool of research.

Sommaire

What is Fisher information ?
Fisher information in a vector world
Extreme physical information
Derivation of relativistic quantum mechanics
Classical electrodynamics
The Einstein field equation of general relativity
Classical statistical physics
Power spectral 1/f noise
Physical constants and the 1/x probability law
Constrained-likelihood quantum measurement theory
Research topics
EPI and entangled realities: the EPR-Bohm experiment
Econophysics, with Raymond J. Hawkins
Growth and transport processes
Cancer growth
Summing up

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	B. Roy Frieden
Parution	15/06/2004
Nb. de pages	490
Format	17,5 x 24,5
Couverture	Broché
Poids	1042g
Intérieur	Noir et Blanc
EAN13	9780521009119
ISBN13	978-0-521-00911-9